👉 Mertens' law is a mathematical principle that states that the expected number of times in a given time period, if the process is repeated indefinitely, a certain random variable (in this case, the number of heads when flipping a coin) will be exactly equal to one. This principle is named after Belgian mathematician Jean-Baptiste Mertens.
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What is the definition of Mertens'? 🙋
👉 Mertens' theorem, named after Swiss mathematician Joseph Louis Mertens, is a fundamental result in number theory that describes the distribution of prime numbers. This theorem states that for any positive integer n > 1, there exists at least one prime p such that pn + 1 is composite. The proof of this statement relies on the existence of infinitely many primes and their gaps between them.
